We're dividing 374532 by 9 
We're looking to find how many times 9 goes into 374532.

Advancing to step 1:
3 divided by 9 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

Going ahead to step 2:
37 divided by 9 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 1 after subtracting 36 from 37.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 9

Going ahead to step 3:
9 can be fit into 14 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Deduct 9 from 14 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 9

Moving on to step 4:
When dividing 55 by 9, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 416.0
Subtract 54 from 55 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 9

Step 5:
9 can be fit into 13 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 4161.0
Deduct 9 from 13 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 9

Moving on to step 6:
9 goes into 42 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 41614.0
Subtracting 36 from 42 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 41614.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
If we divide 60 by 9, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 41614.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 41614.66 with a remainder of 0.006.